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Can the directions of the sum of two two vectors be equal to the directions of difference of two vectors?
Yes.
When are two vectors identical?
Two vectors are identical when all their components are identical. An alternative definition, for vectors used in physics, is that they are identical when both the magnitude and the direction are identical.
What is parallelogram law of vectors?
"If two vector quantities are represented by two adjacent sides or a parallelogram then the diagonal of parallelogram will be equal to the resultant of these two vectors."
Can the sum of two vectors be a scalar?
No.
The sum of two vectors is a minimum when the angle between them is what?
180 degrees. Then the sum of the two vectors has a magnitude equal to the difference of their individual magnitudes.
How will you compare vectors?
You compare their magnitudes.
Can the sum of the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
No, the magnitudes of the sum of two vectors are generally greater than or equal to the sum of the magnitudes of the individual vectors. The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side, which applies to vector addition as well.
Two classes of vector?
This question is unfortunately not specific enough. Depending on your criteria you can arbitrarily divide vectors into two (or more) classes. For example I can divide all vectors into those with length 1 and those of other lengths.
Can the magnitude of resultant of two vectors of same magnitude be equal to the magnitude of either of the vectorsexplain mathematically?
Yes. Imagine an equilateral triangle. If two vectors are in the directions - and lengths - of two of the sides, the resultant will be the third side (depending on the directions chosen, of course).
If a and b are two vectors and the vector product of vector a and vector b is equal to a minus b then prove that a equals b?
The question is not correct, because the product of any two vectors is just a number, while when you subtract to vectors the result is also a vector. So you can't compare two different things...
How do the lengths of two radii of the same circle compare?
The sum of two radii of a circle is the same as the diameter of the circle.
What are some sources of error in determining a resultant by adding vectors graphically?
Some sources of error in determining a resultant by adding vectors graphically include inaccuracies in measuring the lengths and angles of the vectors, mistakes in the scale or orientation of the vector diagram, and human error in drawing and aligning the vectors correctly on the graph. Additionally, errors can arise from distortion in the representation of vectors on a two-dimensional space when dealing with vectors in three dimensions.
How do you compare two lengths that are measured in different sized units?
You can mutiply or divide the units to find the answer.
Can the resultant of two equal vectors be of same magnitude as the two vectors?
No, the resultant of two equal vectors will have a magnitude that is not equal to the magnitude of the original vectors. When two vectors are added together, the resulting vector will have a magnitude that depends on the angle between the two vectors.
What is the difference between vectors and non-vectors?
Coplanar :The vectors are in the same plane.Non coplanar :The vectors are not in the same plane.
Can sum of two vectors be numeric?
No, the sum of two vectors cannot be a scalar.
When are magnitudes of two vectors added?
The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes of the two vectors.
